Φ3 theory with F4 flavor symmetry in 6 – 2ϵ dimensions: 3-loop renormalization and conformal bootstrap
Abstract
Here, we consider Φ3 theory in 6 – 2ϵ with F4 global symmetry. The beta function is calculated up to 3 loops, and a stable unitary IR fixed point is observed. The anomalous dimensions of operators quadratic or cubic in Φ are also computed. We then employ conformal bootstrap technique to study the fixed point predicted from the perturbative approach. For each putative scaling dimension of Φ(ΔΦ), we obtain the corresponding upper bound on the scaling dimension of the second lowest scalar primary in the 26 representation (Δ262nd) which appears in the OPE of Φ × Φ. In D = 5.95, we observe a sharp peak on the upper bound curve located at ΔΦ equal to the value predicted by the 3-loop computation. In D = 5, we observe a weak kink on the upper bound curve at (ΔΦ, Δ262nd) = (1.6, 4).
- Authors:
-
- Max-Plack-Insitut fuer Gravitationsphysik, Potsdam (Germany)
- Inst. for Basic Sciences, Daejeon (Korea). Fields, Gravity & Strings, Center for Theoretical Physics
- Chinese Academy of Sciences (CAS), Beijing (China). CAS Key Lab. of Theoretical Physics
- Publication Date:
- Research Org.:
- Texas A&M Univ., College Station, TX (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1465392
- Grant/Contract Number:
- FG02-13ER42020; SC0010813
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 12; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Conformal and W Symmetry; Global Symmetries
Citation Formats
Pang, Yi, Rong, Junchen, and Su, Ning. Φ3 theory with F4 flavor symmetry in 6 – 2ϵ dimensions: 3-loop renormalization and conformal bootstrap. United States: N. p., 2016.
Web. doi:10.1007/JHEP12(2016)057.
Pang, Yi, Rong, Junchen, & Su, Ning. Φ3 theory with F4 flavor symmetry in 6 – 2ϵ dimensions: 3-loop renormalization and conformal bootstrap. United States. https://doi.org/10.1007/JHEP12(2016)057
Pang, Yi, Rong, Junchen, and Su, Ning. Wed .
"Φ3 theory with F4 flavor symmetry in 6 – 2ϵ dimensions: 3-loop renormalization and conformal bootstrap". United States. https://doi.org/10.1007/JHEP12(2016)057. https://www.osti.gov/servlets/purl/1465392.
@article{osti_1465392,
title = {Φ3 theory with F4 flavor symmetry in 6 – 2ϵ dimensions: 3-loop renormalization and conformal bootstrap},
author = {Pang, Yi and Rong, Junchen and Su, Ning},
abstractNote = {Here, we consider Φ3 theory in 6 – 2ϵ with F4 global symmetry. The beta function is calculated up to 3 loops, and a stable unitary IR fixed point is observed. The anomalous dimensions of operators quadratic or cubic in Φ are also computed. We then employ conformal bootstrap technique to study the fixed point predicted from the perturbative approach. For each putative scaling dimension of Φ(ΔΦ), we obtain the corresponding upper bound on the scaling dimension of the second lowest scalar primary in the 26 representation (Δ262nd) which appears in the OPE of Φ × Φ. In D = 5.95, we observe a sharp peak on the upper bound curve located at ΔΦ equal to the value predicted by the 3-loop computation. In D = 5, we observe a weak kink on the upper bound curve at (ΔΦ, Δ262nd) = (1.6, 4).},
doi = {10.1007/JHEP12(2016)057},
journal = {Journal of High Energy Physics (Online)},
number = 12,
volume = 2016,
place = {United States},
year = {Wed Dec 14 00:00:00 EST 2016},
month = {Wed Dec 14 00:00:00 EST 2016}
}
Web of Science
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